Answer:
9
Step-by-step explanation:
I think the answer would be 9 but I'm not for sure
Answer:
2 units
Step-by-step explanation:
Vpyramid = ⅓ x base area x height
70 = ⅓ x base area x 6
70 = 2 x base area
base area = 70/2 = 35 units
Vprism = base area x height
70 = 35 x height
height = 70/35 = 2 Units
Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
A rational number is any number that can be written as a/b
Answer: 2
Explanation:
The average rate of change is the net change of the function, i.e. final value less initial value, divided by the interval:
f(b) - f(a) f(1) - (f(-3)
average change rate from a to b = ---------------- = ---------------
b - a 1 - (-3)
f(1) = -(1/2) (1 + 2)² + 5 = -(1/2) (3)² + 5 = 5 - 9/2 = 1/2
f(-3) = -(1/2) ( -3 + 2)² + 5 = -(1/2) (-1)² + 5 = 5 - 1/2 = 9/2
(1/2) - (9/2)
average change rate = -------------------- = 2
1 - 3
That is the answer.